Nonlinear Conjugate Gradient Methods for PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics

DOI10.1137/20M1367738zbMath1468.49046arXiv2007.12891MaRDI QIDQ5003209

Sebastian Blauth

Publication date: 20 July 2021

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12891

zbMATH Keywords

nonlinear conjugate gradient methodsshape optimizationnumerical optimizationPDE constrained optimizationoptimization on manifolds

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Space Mapping for PDE Constrained Shape Optimization ⋮ Numerical shape optimization of the Canham-Helfrich-Evans bending energy ⋮ Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners ⋮ Control of Bifurcation Structures using Shape Optimization

Uses Software

• PETSc
• FEniCS
• KELLEY
• cashocs

Cites Work

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